Math, asked by ummulkhairrashidi, 5 months ago


The height of a cone is 15 cm. If its volume is 1570 cm’, find the radius of the base.
(Use π= 3.14)​

Answers

Answered by nancypatel2604
4

Answer:

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Answered by ChikkukiAshee
9

Given:

Volume of cone = 1570cm

To find:

radius of the base.

.•♫•♬•Solution•♬•♫•.

We know that

</p><p>Volume \:  of  \: Cone =  \frac{1}{2} \pi {r}^{2} h

According to question

 =  &gt; \frac{1}{2} \pi {r}^{2} h = 1570 {cm}^{3}

 \frac{1}{3}  \times 3.14 \times  {r}^{2}  \times 15 = 1570 {cm}^{2}

 =  &gt; 1 \times 3.14 \times  {r}^{2}  \times 5 = 1570 {cm}^{2}

 =  &gt; 3.14 \times  {r}^{2}  \times 5 = 1570

 =  &gt;  {r}^{2}  =  \frac{1570}{3.14 \times 5}

 =  &gt;  {r}^{2}  = 100

 =  &gt; r =  \sqrt{100}

 =  &gt; r = 10cm

Hence The value of Radius is10cm

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